34/1: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Correction. + links to previous and next harmonics
m + link
 
Line 3: Line 3:
| Name = 34th harmonic
| Name = 34th harmonic
}}
}}
'''34/1''', the 34th harmonic, is the harmonic after [[33/1]] and before [[35/1]]. It is equal to a [[17/1|17th harmonic]] plus an [[octave]], or a large septendecimal semitone ([[17/16]]) plus five octaves.
'''34/1''', the 34th harmonic, is the [[harmonic]] after [[33/1]] and before [[35/1]]. It is equal to a [[17/1|17th harmonic]] plus an [[octave]], or a large septendecimal semitone ([[17/16]]) plus five octaves.

Latest revision as of 02:35, 3 August 2026

This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Interval information
Ratio 34/1
Subgroup monzo 2.17 [1 1
Size in cents 6104.955¢
Name 34th harmonic
FJS name [math]\displaystyle{ \text{m37}^{17} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 5.08746
Weil norm (log2 max(n, d)) 10.1749
Wilson norm (sopfr(nd)) 19
Open this interval in xen-calc

34/1, the 34th harmonic, is the harmonic after 33/1 and before 35/1. It is equal to a 17th harmonic plus an octave, or a large septendecimal semitone (17/16) plus five octaves.